Question

Solve |2x-9|+4 less than or equal to7

Answer 1

this is what I have so far
|2x-9|+4<=7
First I subtract 4.
|2x-9|<=3

2x+9<=3
Then,subtract 9 both sides.

2x<=-6
2x/2<=-6/2
x<=-3


|2x-9|+4>=7
I subtract 4 from both sides.
|2x-9|>=3


|2x-9|>=-3
2x-9>=-3
I add 9 to both sides.
2x>=6

Answer 2

O.o??

Answer 3

Does that makes sense?

Answer 4

What am a little confused if the two answer the negative and the positive are <= <= or <= and >=?

Answer 5

x<=-3
x>=6
That's the answer.
Just like that.

Answer 6

Makes sense?

Answer 7

oh , I got -6

Answer 8

O.o?

Answer 9

(-3)-9=-12
-12/2 =-6

Answer 10

right?

Answer 11

Why -6?
Just x>=6
Sorry, but I don't see your doubt.

Answer 12

(-3)-9=-12
-12/2 =-6

Answer 13

my bad.
Is x>=3
and x<=-3

Answer 14

You said:
"2x-9>=-3
I add 9 to both sides.
2x>=6"
Then we divide by 3 both sides and we get
x>=3

Answer 15

???
ok this is what I have x<-3 and x>-6

Answer 16

Where does the -6 comes from?

Answer 17

I made some changes on my calculations may be thats why

Answer 18

the negative part 2x+9>-3

Answer 19

2x-9>=-3
2x+9<=3
Those are the equations from which we start.
Not 2x+9>-3

Answer 20

Mmm... ok whhen you have brackets |2x-9| dont you make it positive? I think thats where I got confused

Answer 21

I started with 2x+9<3 and 2x+9>-3

Answer 22

It must be:
2x-9<3
and
2x-9>-3

Answer 23

oh so you dont make whats inside the brackets positive?

Answer 24

No

Answer 25

When you change the inequality you have to change the sign only on ONE side

Answer 26

ok so appliying what you said my answerr is x<6 and x>3

Answer 27

Excellent!

Answer 28

Any doubt?

Answer 29

nope thank you! :)

Answer 30

Thanks to you for that medal!
Glad to help you!

Answer 31

:)) ohh also I forgot to ask

Answer 32

how would you describe that on a graph?

Answer 33

that is positive?? may be

Answer 34

x<6 and x>3

Like that?